Finding the Third Proportional to 23,677.50 and 36,761.25

Step by Step Solution

1. Step 1: Write the proportion equation
   23,677.50 : 36,761.25 = 36,761.25 : x
2. Step 2: Convert to fraction form
   23,677.50/36,761.25 = 36,761.25/x
3. Step 3: Cross multiply
   23,677.50x = 36,761.25 × 36,761.25
4. Step 4: Simplify right side
   23,677.50x = 1,351,389,501.56
5. Step 5: Solve for x
   x = 1,351,389,501.56/23,677.50
6. Step 6: Final answer
   x = 57,074.84